45875820856320 has 3168 divisors, whose sum is σ = 207346508328960. Its totient is φ = 9521228021760.

The previous prime is 45875820856301. The next prime is 45875820856339. The reversal of 45875820856320 is 2365802857854.

45875820856320 is a `hidden beast` number, since 4 + 5 + 8 + 7 + 58 + 208 + 56 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (45875820856301) and next prime (45875820856339).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 104500730661 + ... + 104500731099.

It is an arithmetic number, because the mean of its divisors is an integer number (65450286720).

Almost surely, 2^{45875820856320} is an apocalyptic number.

45875820856320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45875820856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103673254164480).

45875820856320 is an abundant number, since it is smaller than the sum of its proper divisors (161470687472640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45875820856320 is a wasteful number, since it uses less digits than its factorization.

45875820856320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 45875820856320 in words is "forty-five trillion, eight hundred seventy-five billion, eight hundred twenty million, eight hundred fifty-six thousand, three hundred twenty".